Relationship between area of sector, radius and angle (in degrees) slider version

Topic:
Area
Original creation of this applet goes to Jennifer Silverman and subsequent changes by Tim Brzezinski (derived from this worksheet.) Interact with this applet for a few minutes, then answer the question that follows.
Is there any relationship between the area of the sector, its angle at the centre (shown in degree), and the radius of the circle? If so, describe. If you cannot remember exactly how to describe the concept of a radian, please refer here.